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Simplifying 3(2x + 1) + -1(x + -3) = 2(x + 5) + -3 Reorder the terms: 3(1 + 2x) + -1(x + -3) = 2(x + 5) + -3 (1 * 3 + 2x * 3) + -1(x + -3) = 2(x + 5) + -3 (3 + 6x) + -1(x + -3) = 2(x + 5) + -3 Reorder the terms: 3 + 6x + -1(-3 + x) = 2(x + 5) + -3 3 + 6x + (-3 * -1 + x * -1) = 2(x + 5) + -3 3 + 6x + (3 + -1x) = 2(x + 5) + -3 Reorder the terms: 3 + 3 + 6x + -1x = 2(x + 5) + -3 Combine like terms: 3 + 3 = 6 6 + 6x + -1x = 2(x + 5) + -3 Combine like terms: 6x + -1x = 5x 6 + 5x = 2(x + 5) + -3 Reorder the terms: 6 + 5x = 2(5 + x) + -3 6 + 5x = (5 * 2 + x * 2) + -3 6 + 5x = (10 + 2x) + -3 Reorder the terms: 6 + 5x = 10 + -3 + 2x Combine like terms: 10 + -3 = 7 6 + 5x = 7 + 2x Solving 6 + 5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 5x + -2x = 7 + 2x + -2x Combine like terms: 5x + -2x = 3x 6 + 3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 3x = 7 + 0 6 + 3x = 7 Add '-6' to each side of the equation. 6 + -6 + 3x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 7 + -6 3x = 7 + -6 Combine like terms: 7 + -6 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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